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This work presents a general thermodynamic approach to describe particle diffusion on a lattice, a model used to study transport processes in solids and on surfaces. By treating each lattice site as an open thermodynamic system, the effects…

Statistical Mechanics · Physics 2026-05-05 Matías A. Di Muro , Miguel Hoyuelos

We consider a two-dimensional lattice gas model with repulsive nearest- and next-nearest-neighbor interactions that evolves in time according to anisotropic Kawasaki dynamics. The hopping of particles along the principal directions is…

Condensed Matter · Physics 2007-05-23 Attila Szolnoki , Gyorgy Szabo

We numerically study a nondisordered lattice spin system with a first order liquid-crystal transition, as a model for supercooled liquids and glasses. Below the melting temperature the system can be kept in the metastable liquid phase, and…

Statistical Mechanics · Physics 2009-11-07 Andrea Cavagna , Irene Giardina , Tomas S. Grigera

Solid-state batteries require electrolytes that sustain high ionic conductivity under the mechanical environment of a functioning cell. Lattice strain, arising from stack pressure, thermal cycling, or lattice mismatch at interfaces, can…

Materials Science · Physics 2026-05-08 Wei-Fan Huang , Jin Dai , Jiahui Pan , Mingjian Wen

We predict that graphene is a unique system where disorder-assisted scattering (supercollisions) dominates electron-lattice cooling over a wide range of temperatures, up to room temperature. This is so because for momentum-conserving…

Mesoscale and Nanoscale Physics · Physics 2012-09-21 Justin C. W. Song , Michael Y. Reizer , Leonid S. Levitov

A nonuniform system is considered consisting of two phases with different densities of particles. At each given time the distribution of the phases in space is chaotic: each phase filling a set of regions with random shapes and locations. A…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

We study the temperature dependence of energy diffusion in two chaotic gapped quantum spin chains, a tilted-field Ising model and an XZ model, using an open system approach. We introduce an energy imbalance by coupling the chain to thermal…

Strongly Correlated Electrons · Physics 2021-03-31 Cristian Zanoci , Brian Swingle

The organic charge-transfer salt EtMe$_3$P[Pd(dmit)$_2$]$_2$ is a quasi-two-dimensional Mott insulator with localized spins $S$ = 1/2 residing on a distorted triangular lattice. Here we report measurements of the uniaxial thermal expansion…

Strongly Correlated Electrons · Physics 2014-01-14 Rudra Sekhar Manna , Mariano de Souza , Reizo Kato , Michael Lang

We analyze the finite-temperature effects on the phase diagram describing the insulating properties of interacting 1D bosons in a quasi-periodic lattice. We examine thermal effects by comparing experimental results to exact diagonalization…

This thesis focuses on the mechanisms of energy transport in multidimensional heterogeneous lattice models, studying in particular the case of the Klein-Gordon model of coupled anharmonic oscillators in one and two spatial dimensions. We…

Chaotic Dynamics · Physics 2021-04-26 Bob Senyange

Heat conduction in three-dimenisional nonlinear lattice models is studied using nonequilibrium molecular dynamics simulations. We employ the FPU model, in which there exists a nonlinearity in the interaction of biquadratic form. It is…

Statistical Mechanics · Physics 2010-04-07 Hayato Shiba , Nobuyasu Ito

In the paper we deal with ballistic heat transport in a graphene lattice subjected to a point heat source. It is assumed that a graphene sheet is suspended under tension in a viscous gas. We use the model of a harmonic polyatomic (more…

Mesoscale and Nanoscale Physics · Physics 2022-05-11 Serge N. Gavrilov , Anton M. Krivtsov

Recently, it was predicted that an RKKY-type interaction between adatoms in graphene can drive an ordering transition to a state with broken sublattice symmetry (arXiv:1004.3678). In this state, due to Bragg scattering of electron waves on…

Mesoscale and Nanoscale Physics · Physics 2010-08-10 Dmitry Abanin , Leonid Levitov

We study the properties of a one-dimensional (1D) granular gas consisting of $N$ hard rods on a line of length $L$ (with periodic boundary conditions). The particles collide inelastically and are fluidized by a heat bath at temperature…

Statistical Mechanics · Physics 2009-11-10 Fabio Cecconi , Fabiana Diotallevi , Umberto Marini Bettolo Marconi , Andrea Puglisi

The measurement of resistivity across a wide temperature range - from 15 to 1473 K - in rare-earth manganite series of compounds reveals a very interesting feature : normally observed insulating pattern beyond Tc (Curie Point) gives way to…

Strongly Correlated Electrons · Physics 2009-10-31 Dipten Bhattacharya , Pintu Das , A. Pandey , A. K. Raychaudhuri , Amitava Chakraborty , V. N. Ojha

In this Rapid Research Note the application of recently introduced [Physica A 277 (2000) 157] entropic measure S_Delta of spatial disorder for systems of finite-sized objects is presented. In the thermodynamic limit the critical behaviour…

Statistical Mechanics · Physics 2017-09-27 R. Piasecki , A. Czainski

We consider stochastic lattice gases with stationary product weights and a polynomial perturbation vanishing with the system size that leads to condensation. If the density of particles exceeds a critical value the system phase separates…

Probability · Mathematics 2026-03-03 Joshua Blank , Paul Chleboun , Stefan Grosskinsky , Watthanan Jatuviriyapornchai

The motion of dopants in magnetic spin lattices has received tremendous attention for at least four decades due to its connection to high-temperature superconductivity. Despite these efforts, we lack a complete understanding of their…

Quantum Gases · Physics 2025-10-22 Mingru Yang , Sajant Anand , Kristian Knakkergaard Nielsen

In aluminium electrolysis cells, a ledge of frozen electrolyte is formed, attached to the sides of the cell. The control of the side ledge thickness is essential in ensuring a reasonable lifetime for the cells. Numerical modelling of the…

Materials Science · Physics 2016-09-30 Aimen E. Gheribi , Patrice Chartrand

We consider a discrete model of planar elasticity where the particles, in the reference configuration, sit on a regular triangular lattice and interact through nearest neighbor pairwise potentials, with bonds modeled as linearized elastic…

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